To multiply the mixed number \( 1 \frac{1}{4} \) by the fraction \( \frac{2}{5} \), follow these steps:

### Step 1: Convert the mixed number to an improper fraction
Convert \( 1 \frac{1}{4} \) into an improper fraction:
\[
1 \frac{1}{4} = \frac{5}{4}
\]

### Step 2: Multiply the fractions
Now, multiply \( \frac{5}{4} \) by \( \frac{2}{5} \):
\[
\frac{5}{4} \times \frac{2}{5} = \frac{5 \times 2}{4 \times 5} = \frac{10}{20}
\]

### Step 3: Simplify the result
Simplify \( \frac{10}{20} \):
\[
\frac{10}{20} = \frac{1}{2}
\]

So, \( 1 \frac{1}{4} \times \frac{2}{5} = \frac{1}{2} \).

Would you like more details or have any questions about this? 

Here are some related questions to explore:

1. How do you add \( 1 \frac{1}{4} + \frac{2}{5} \)?
2. What is the product of \( \frac{3}{7} \times \frac{4}{5} \)?
3. How do you divide \( 1 \frac{1}{4} \div \frac{2}{5} \)?
4. How do you convert improper fractions back into mixed numbers?
5. What is the process for simplifying a fraction?

**Tip:** When multiplying fractions, remember to multiply the numerators together and the denominators together!

Discover how to multiply the mixed number 1 1/4 by the fraction 2/5. This solution breaks down the process into easy steps, converting mixed numbers into improper fractions and simplifying the product. Ideal for students in Grades 5-6.

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